Zombies are very popular lately. Unlike vampires which come in many flavors, modern zombies come in one flavor - zombie apocalypse night-of-the-living dead zombies. Generally they are treated as a natural force, and the story turns on the efforts of the living to deal with zombie and each other.

But
consider the zombie. What if a zombie is motivated by love? Maybe the eating of flesh is similar to Lenny in Mice and Men, who loved cuddly things so much he squeezed them to death. This movie would be from the perspective of zombies and their interactions with each other - something as yet seen only in passing. Humans would be depicted as luminously beautiful and frustratingly fast moving: like elves, or angels. Their speech is like birdsong. On reanimation these qualities are lost, a cause for sadness.

I envision this as an art film, 30-45 minutes, in black and white. Yearning for the unattainable will be the main subject. As there would be little or no intelligible speech, music, mime and interpretive dance would carry the narrative.

Modern folkloric zombies do come in flavors though,
albeit
not this one. [+] However, Shelley's Frankenstein has
much
revolving around the monster's reaction to human
things
he had lost such as being loved by others. In this
respect,
he can be considered very close to your flavor of
zombie.
[-] I dunno, it's just a bunch of roughed up bloody actors
being sad while they watch people loving each other. [-]
There will be a climax and it will most likely be a
zombie suicide
or a mass zombie suicide and that might be pretty
moving. [++]. So, [+]

Strangely, bung, your idea is not a million miles away from the original inspiration for 'Night of the Living Dead'. In the original, and excellent, novel 'I Am Legend' by Richard Matheson, the zombies/vampires turned out to be the good guys and it was the 'normal' guy who turned out to be the monster.

No-one's going to have any compunction about smashing a mime's
brains (if any) out with a baseball bat, let alone a ravening zombie
mine ...

The lack of the traditional zombie moaning might be a problem,
though. Maybe they could hold up flashcards ...

Due to the makeup, it might be very difficult to discriminate between a
live mime and a dead zombie mime, resulting in live un-zombified
mimes getting decapitated or having their skulls smashed with blunt
objects. So really, there's no downside...